What is the Least Common Multiple of 21804 and 21822?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 21804 and 21822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21804 and 21822, than apply into the LCM equation.

GCF(21804,21822) = 6
LCM(21804,21822) = ( 21804 × 21822) / 6
LCM(21804,21822) = 475806888 / 6
LCM(21804,21822) = 79301148

Least Common Multiple (LCM) of 21804 and 21822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21804 and 21822. First we will calculate the prime factors of 21804 and 21822.

Prime Factorization of 21804

Prime Factorization of 21822

Now multiplying the highest exponent prime factors to calculate the LCM of 21804 and 21822.

LCM(21804,21822) = 2² × 3¹ × 23¹ × 79¹ × 3637¹
LCM(21804,21822) = 79301148